The real-cell stranger test walks claim link → first ask on a new app → first pull green and live, starting from the kept branch #12077

Replaces #12050, parked twice: the walk was written twice and never ran before the forge's check, which went red both times (pull #12058, check run 01m7akk6kr5fngfs2bztrzn7na: the walk itself; pull #12062, check run 01m7apwttx3e1ps2xss94gzf3k: the walk, plus "every module under src/ is imported by another, or allowed" and "rule header-width"). This is v1 list item 1 (#11541): the proof must walk the path a person takes, because the earlier proofs passed while production failed.

Start from branch scout/12050-the-real-cell-proof-walks-the-stranger-s at 488f1cc (test/spawn-stranger-cell.test.ts and test/helpers/real-stranger-e2e.ts), not from scratch. The second ask is out of scope here; it is one more assertion once this lands.

Done when:

• Before writing code, the pull quotes the failing phase and message from both check runs above and says whether the test or the forge was wrong.
• The orphan-module and header-width failures are fixed: the new helper is imported or allowed the way the other cell helpers are, and headers wrap to the width.
• One real-cell test (skipped and named as skipped under FORGE_TEST_SOCKET) spawns a child at size small, claims it through its claim link with the forge's name as username and no email, and asks "a page that says hello and shows today's date" through the stranger's form. The model call is stubbed with a fixed edit.
• It asserts that the ask is filed on a new app and never <name>/forge, that the first pull lands on green, that the app's URL serves the page, and that there is no memory stop and no 429. Each phase has its own timeout and a message that names the phase.
• The forge's check on the pull is green with this test run (not skipped), and the pull pastes that run's lines for this test. If the walk shows a real fault in the forge, the pull fixes it only if it fits in a few lines. Otherwise it says so with the log, and the test stays in the pull as the evidence.

Files: test/spawn-stranger-cell.test.ts, test/helpers/real-stranger-e2e.ts, the gate list if it lists tests by hand. Risk: the per-file budget, so name this file's budget like spawn-cell-e2e does. Brief: scout or torque (both have the context).